Abstract
The holonomy of the Bismut connection on Vaisman manifolds is studied. We prove that if $$M^{2n}$$ is endowed with a Vaisman structure, then the holonomy group of the Bismut connection is contained in $${\text {U}}(n-1)$$ . We compute explicitly this group for particular types of manifolds, namely, solvmanifolds and some classical Hopf manifolds.
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